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Optimal Control Problems for a Mathematical Model of the Treatment of Psoriasis

Computational Mathematics and Modeling, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Grigorenko, N. L.   +3 more
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On optimal controls for a general mathematical model for chemotherapy of HIV

Proceedings of the 2002 American Control Conference (IEEE Cat. No.CH37301), 2002
We describe a class of optimal control problems which arise as mathematical models for biological systems in the chemotherapy of diseases which have a strong cell proliferation aspect such as cancer or AIDS. Although individually these problems are very different in their specifics, yet due to. the underlying mechanisms of cell dynamics, they also have
Urszula Ledzewicz, Heinz Schättler
openaire   +1 more source

Application of a mathematical model for the control and optimization of a distillation plant

Automatica, 1972
The principles of optimizing process control are elucidated by weighing the merits of hill-climbing, feedback, methods against model, feedforward, methods. It is shown that the advantages of the two methods can be employed at both the optimizing and the stabilizing control levels of a chemical plant.
G. Duyfjes, P.M.E.M. van der Grinten
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Mathematical analysis of an epidemic model with isolation and optimal controls

International Journal of Computer Mathematics, 2016
In this article, we consider a susceptible–infectious–recovered SIR type epidemic model with some isolation to the susceptible, treatment for infectives, and vaccination to the newly recruited individuals. The basic reproduction number is obtained, and both the existence and stability of the disease-free and endemic equilibrium are discussed.
Soovoojeet Jana   +2 more
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Mathematical analysis and optimal control applied to the treatment of leukemia

Journal of Applied Mathematics and Computing, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shanta Khatun, Md. Haider Ali Biswas
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Duality theory in mathematical programming and optimal control

Kybernetika, 1984
This paper ``deals with the duality theory of extremal problems. It is divided into three parts according to the nature of the original problem (convex, smooth nonconvex, nonsmooth locally Lipschitz problems). From various aspects of the duality theory preferably the possibility of replacing the original (primal) problem by another easier (dual ...
Jirí V. Outrata, Jirí Jarusek
openaire   +2 more sources

Optimal control of ultradiffusion processes with application to mathematical finance

International Journal of Computer Mathematics, 2014
We introduce the optimal control problem associated with ultradiffusion processes as a stochastic differential equation constrained optimization of the expected system performance over the set of feasible trajectories. The associated Bellman function is characterized as the solution to a Hamilton–Jacobi equation evaluated along an optimal process.
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Mathematical Methods of Optimal Control

Technometrics, 1972
Albert Bishop   +2 more
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Stochastic optimal control in mathematical finance

Communications in Optimization Theory
Summary: The general area of mathematical finance presents some interesting and challenging problems of \textit{stochastic optimal control}, which are typically of two distinct kinds, namely problems of \textit{mean-square minimization} and problems of \textit{utility maximization}. Often these optimal control problems are not especially well suited to
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Adaptive Controllers for Mathematical Optimization Models

2011
Adaptive model controllers are promising candidates for extending DSS for dynamic process planning problems. They are designed to feed back variations of model assumptions about the severity of a process control problem to the model base during the process control phase.
openaire   +1 more source

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